Use the following equivalent definition of gradient of (a scalar, vector or tensor field) g = g(v) Vg(v.) [u] = lim d S -+ 0 S -(g(v, + su) - 9(vo)) = 79(30 + su) =0, to find the gradient of the fields given below.(a) f : VEE f(v) = _ ER. Recall that | | denotes the norm on E associated with the scalar product of E. (b) f : vEE f(v) = A" . v E E, where A E Lin and we have denoted with A := A. A (specifically, A2 . = A. (A.U)). (c) f : V E Lin -> f(V) = tr(V) V E Lin